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Finding the Fourth Proportional to 57,748, 79,692.28 and 31,252

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Solution

The fourth proportional to 57,748, 79,692.28 and 31,252 is: 43,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748 : 79,692.28 = 31,252 : x
  2. Step 2: Convert to fraction form
    57,748/79,692.28 = 31,252/x
  3. Step 3: Cross multiply
    57,748x = 79,692.28 × 31,252
  4. Step 4: Simplify right side
    57,748x = 2,490,543,134.56
  5. Step 5: Solve for x
    x = 2,490,543,134.56/57,748
  6. Step 6: Final answer
    x = 43,127.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.